42 search results - page 1 / 9 » Quadratic Goldreich-Levin Theorems |
CORR
2011
Springer
12 years 8 months ago
2011
Springer
Decomposition theorems in classical Fourier analysis enable us to express a bounded function in terms of few linear phases with large Fourier coefficients plus a part that is pseu...
IPL
2006
13 years 5 months ago
2006
At the heart of the Goldreich-Levin Theorem is the problem of determining an n-bit string a by making queries to two oracles, referred to as IP (inner product) and EQ (equivalence...
TCC
2010
Springer
14 years 1 months ago
2010
Springer
We construct public-key cryptosystems that remain secure even when the adversary is given any computationally uninvertible function of the secret key as auxiliary input (even one t...
FOCS
2010
IEEE
13 years 3 months ago
2010
IEEE
Abstract. We present a Fourier-analytic approach to list-decoding Reed-Muller codes over arbitrary finite fields. We use this to show that quadratic forms over any field are locall...
SIAMCOMP
2010
13 years 3 months ago
2010
The classical direct product theorem for circuits says that if a Boolean function f : {0, 1}n → {0, 1} is somewhat hard to compute on average by small circuits, then the correspo...